Abstract
We give a necessary and sufficient condition for the maximum principle of Schrödinger operators in terms of the bottom of the spectrum of time-changed processes. As a corollary, we obtain a sufficient condition for the Liouville property of Schrödinger operators.
Original language | English |
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Pages (from-to) | 741-756 |
Number of pages | 16 |
Journal | Journal of Theoretical Probability |
Volume | 31 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2018 Jun 1 |
Keywords
- Dirichlet form
- Liouville property
- Maximum principle
- Schrödinger form
- Symmetric Hunt process
ASJC Scopus subject areas
- Statistics and Probability
- Mathematics(all)
- Statistics, Probability and Uncertainty